A company I worked for had a few people at each site that had a kill switch that would lock all workstations and lock out all employees at that site. That would prevent the fishing expedition from succeeding.
Similarly, another company I worked for had a company policy that you should physically give up your corporate laptop and phone to customs, but speak to company counsel before giving any sign in credentials. Some countries like to data mine business travelers if they have a beef with the traveller's employer.
Edit: I should point out that every large company should have a rapid response security team. And even if there's no formal system or procedure for a police raid, it would only take a few minutes for that team to decide that they have an obligation to protect the company's data and network. They certainly wouldn't let non-employees sit at a terminal and do whatever they want for hours or days.